2135907420 has 288 divisors, whose sum is σ = 6926169600. Its totient is φ = 488936448.

The previous prime is 2135907383. The next prime is 2135907451. The reversal of 2135907420 is 247095312.

It is a super-2 number, since 2×2135907420² = 9124201013622112800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40300114 + ... + 40300166.

It is an arithmetic number, because the mean of its divisors is an integer number (24049200).

Almost surely, 2^2135907420 is an apocalyptic number.

2135907420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135907420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463084800).

2135907420 is an abundant number, since it is smaller than the sum of its proper divisors (4790262180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2135907420 is a wasteful number, since it uses less digits than its factorization.

2135907420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2135907420 is about 46215.8784402071. The cubic root of 2135907420 is about 1287.8367324845.

The spelling of 2135907420 in words is "two billion, one hundred thirty-five million, nine hundred seven thousand, four hundred twenty".